The Nature of Scientific Research. Scientific Reasoning. Research Misconduct. Problem Solving.
Scientific Discovery. Scientific Reputation. Getting Started on a Research Project. The Research Proposal.
Planning an Observational/Experimental Project.
Planning a Theoretical/Computational Project.
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The Necessity of a Literature Search. The Internet. The Nature of Scientific Literature. Note Strategies.
Search Strategies. Analytic Reading. Synthetic Reading. Critical Reading.
Reading experimental/observational papers.
Reading theoretical papers.
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Making observations. Classification. Using Instruments for Measurement. Statistics.
Hidden Perceptions. Sampling. Reporting Errors. Propagation of Error.
Rejecting Data.
The Normal Distribution.
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Mean and Variance. Systematic Errors. Least Squares Fitting. Covariance and Correlation.
The Binomial Distribution. The Poisson Distribution. The Chi-Squared Test. Displaying Data.
Parameter Estimation.
Model Selection
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Axiomatic Systems. The Method of Direct Proof. Reductio ad Absurdum. Mathematical Induction.
Proof by Contrapositive. Counterexamples. Proof by Cases. Predicates.
Testing Hypotheses.
Derivations.
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Computational Errors. Designing Programs. Matrix Algebra. Optimization.
Sensitivity Analysis. Constrained Optimization. Monte Carlo Methods. Nonlinear Equations.
Maximum Likelihood Estimation.
Computer Arithmetic.
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Proportionality and Similarity. Probabilitstic Modeling. Optimization modeling. Differential equation modeling.
Model Fitting. Simulation. Dynamical Systems. Similitude.
Experimental Modeling
Modeling with Systems of Differential Equations
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Design and Specifications. Control of Error. Calibration. Recording Data.
Design Issues. Amplifiers. Impedance Matching. Feedback.
Constructing Apparatus.
Modeling with Apparatus.
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Unstructured Experiments. Simple Structures. Blocks. Factorial Structures. Row-Column Designs.
People and Animals. Small Units Within Larger Units. Factor Calculus. Incomplete Blocks.
Fractional Factorials.
Latin Squares.
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Scientific Writing. Writing a Paper. Polishing. Presentations.
Electronic Publishing. Visual Aids in presentations. Motivating the Reader. Fluidity and Momentum.
Reporting on experiments, observations, or apparatus..
Reporting on theoretical or computational results.
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